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Finding the Fourth Proportional to 336.93, 506.30 and 182.97

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Solution

The fourth proportional to 336.93, 506.30 and 182.97 is: 274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.93 : 506.30 = 182.97 : x
  2. Step 2: Convert to fraction form
    336.93/506.30 = 182.97/x
  3. Step 3: Cross multiply
    336.93x = 506.30 × 182.97
  4. Step 4: Simplify right side
    336.93x = 92,636.80
  5. Step 5: Solve for x
    x = 92,636.80/336.93
  6. Step 6: Final answer
    x = 274.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.